10. your answer to each part of this problem should be a logical argument, and it should be presented using both mathematical symbols and complete english sentences. let a be an n xn matrix. (a) suppose that vi and ã¼2 are eigenvectors corresponding to distinct eigenvalues a1 and a2 of a. show that i and t2 are linearly independent (b) generalize your argument in part (a) to prove to following: if , t, are eigenvectors of a cor- responding to distinct eigenvalues a1, , ar, then the vectors , are linearly independent.